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Finding the Fourth Proportional to 476,109.36, 714,443.33 and 176,797.76

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Solution

The fourth proportional to 476,109.36, 714,443.33 and 176,797.76 is: 265,300.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,109.36 : 714,443.33 = 176,797.76 : x
  2. Step 2: Convert to fraction form
    476,109.36/714,443.33 = 176,797.76/x
  3. Step 3: Cross multiply
    476,109.36x = 714,443.33 × 176,797.76
  4. Step 4: Simplify right side
    476,109.36x = 126,311,977,260.72
  5. Step 5: Solve for x
    x = 126,311,977,260.72/476,109.36
  6. Step 6: Final answer
    x = 265,300.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.